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2525433672 = 2332361179419
BaseRepresentation
bin1001011010000111…
…0000111101001000
320112000001022201110
42112201300331020
520133002334142
61054332450320
7116403555246
oct22641607510
96460038643
102525433672
1110865a5773
125a59199a0
13313295b68
1419d591796
15ebaa199c
hex96870f48

2525433672 has 128 divisors (see below), whose sum is σ = 6749568000. Its totient is φ = 785706240.

The previous prime is 2525433667. The next prime is 2525433683. The reversal of 2525433672 is 2763345252.

It is a self number, because there is not a number n which added to its sum of digits gives 2525433672.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6027079 + ... + 6027497.

It is an arithmetic number, because the mean of its divisors is an integer number (52731000).

Almost surely, 22525433672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525433672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784000).

2525433672 is an abundant number, since it is smaller than the sum of its proper divisors (4224134328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2525433672 is a wasteful number, since it uses less digits than its factorization.

2525433672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 687 counting only the distinct ones).

The product of its digits is 302400, while the sum is 39.

The square root of 2525433672 is about 50253.6931180187. The cubic root of 2525433672 is about 1361.7957952523.

The spelling of 2525433672 in words is "two billion, five hundred twenty-five million, four hundred thirty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 61 69 92 122 138 179 183 184 244 276 358 366 419 488 537 552 716 732 838 1074 1257 1403 1432 1464 1676 2148 2514 2806 3352 4117 4209 4296 5028 5612 8234 8418 9637 10056 10919 11224 12351 16468 16836 19274 21838 24702 25559 28911 32757 32936 33672 38548 43676 49404 51118 57822 65514 75001 76677 77096 87352 98808 102236 115644 131028 150002 153354 204472 225003 231288 251137 262056 300004 306708 450006 502274 587857 600008 613416 753411 900012 1004548 1175714 1506822 1725023 1763571 1800024 2009096 2351428 3013644 3450046 3527142 4575061 4702856 5175069 6027288 6900092 7054284 9150122 10350138 13725183 13800184 14108568 18300244 20700276 27450366 36600488 41400552 54900732 105226403 109801464 210452806 315679209 420905612 631358418 841811224 1262716836 2525433672